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Simplifying 1 + -4k + 2k = k + -3 + -5k + -6 Combine like terms: -4k + 2k = -2k 1 + -2k = k + -3 + -5k + -6 Reorder the terms: 1 + -2k = -3 + -6 + k + -5k Combine like terms: -3 + -6 = -9 1 + -2k = -9 + k + -5k Combine like terms: k + -5k = -4k 1 + -2k = -9 + -4k Solving 1 + -2k = -9 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 1 + -2k + 4k = -9 + -4k + 4k Combine like terms: -2k + 4k = 2k 1 + 2k = -9 + -4k + 4k Combine like terms: -4k + 4k = 0 1 + 2k = -9 + 0 1 + 2k = -9 Add '-1' to each side of the equation. 1 + -1 + 2k = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = -9 + -1 2k = -9 + -1 Combine like terms: -9 + -1 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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